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Finding the Third Proportional to 300,064.50 and 464,312.25

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Solution

The third proportional to 300,064.50 and 464,312.25 is: 718,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,064.50 : 464,312.25 = 464,312.25 : x
  2. Step 2: Convert to fraction form
    300,064.50/464,312.25 = 464,312.25/x
  3. Step 3: Cross multiply
    300,064.50x = 464,312.25 × 464,312.25
  4. Step 4: Simplify right side
    300,064.50x = 215,585,865,500.06
  5. Step 5: Solve for x
    x = 215,585,865,500.06/300,064.50
  6. Step 6: Final answer
    x = 718,465.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.